Simulation Analysis of Projectile Penetrating into Rock-like Targets based on Eulerian Algorithm

Hao SUN; Fengtao BAI; Hang YAO; Bingwen QIAN

doi:10.12382/bgxb.2025.0748

您当前的位置：

首页 >

文章列表页 >

Simulation Analysis of Projectile Penetrating into Rock-like Targets based on Eulerian Algorithm

更新时间：2026-02-10

- Simulation Analysis of Projectile Penetrating into Rock-like Targets based on Eulerian Algorithm
- Acta Armamentarii Vol. 46, Issue S2, Pages: 250748(2025)
- 作者机构：
  
  1. 中国海洋大学工程学院, 山东青岛 266100
  2. 西北核技术研究所, 陕西西安 710024
- 作者简介：
- 基金信息：
- DOI：10.12382/bgxb.2025.0748
  CLC：
- Received：13 August 2025，
  
  Online First：03 February 2026，
  
  Published：2025
- 稿件说明：
移动端阅览
Hao SUN, Fengtao BAI, Hang YAO, et al. Simulation Analysis of Projectile Penetrating into Rock-like Targets based on Eulerian Algorithm[J]. Acta Armamentarii, 2025, 46(S2): 250748.
DOI：

Hao SUN, Fengtao BAI, Hang YAO, et al. Simulation Analysis of Projectile Penetrating into Rock-like Targets based on Eulerian Algorithm[J]. Acta Armamentarii, 2025, 46(S2): 250748. DOI： 10.12382/bgxb.2025.0748.

摘要

欧拉算法在分析处理大变形问题上有着独特优势。为探究该算法在求解弹体高速侵彻岩石类靶标问题中的适用性

分别构建靶体欧拉网格与拉格朗日网格模型

对二维刚性弹体在不同速度下侵彻混凝土靶开展仿真模拟

并将仿真结果与试验数据对比验证。分析结果表明:欧拉算法下刚性弹体侵彻混凝土靶的仿真结果与试验结果吻合度较高

验证了其在求解岩石类靶体侵彻问题中的可靠性。与拉格朗日方法相比

欧拉网格所呈现的弹靶耦合界面更为光滑清晰

能够有效规避因靶体网格失效删除导致的弹体载荷曲线激荡和噪声问题

保证应力传递的稳定性与连续性;欧拉算法仿真结果中

弹体侵彻开坑阶段靶体迎弹面出现的表面隆起、裂纹扩展及混凝土块剥落飞出等现象

与该阶段靶体响应特征一致。研究结果表明

欧拉算法仿真可较好地预测弹体侵彻深度及靶面开坑形态

为研究岩石类靶标侵彻过程中弹体结构响应提供新的技术手段。

Abstract

The Eulerian algorithm has unique advantages in analyzing and handling the problem of significant deformation.In order to explore the applicability of Eulerian algorithm in solving the problem of projectile penetrating into the rock-like target at high velocity

An Eulerian mesh model and a Lagrangian mesh model of the target are constructed

respectively.The penetration of two-dimensional rigid projectiles into the concrete targets at different velocities is simulated

and the simulated results are compared with the experimental data.The analysis results show that the simulated results of rigid projectiles penetrating into the concrete targets are in good agreement with the experimental results

which verifies the reliability Eulerian algorithm in solving the problem of penetrating into the rock-like targets.Compared with the Lagrangian method

the projectile-target coupling interface presented by the Eulerian mesh is smoother and clearer

which can effectively avoid the oscillation and noise problems of projectile load curve caused by the failure and deletion of target mesh

and ensure the stability and continuity of stress transmission.In the simulated results of the Eulerian algorithm

the phenomena such as surface bulge

crack propagation and concrete block spalling occurring on the target’s projectile-facing surface during the penetration and cratering stage of projectile are consistent with the target response characteristics at this stage.The research results indicate that the Eulerian algorithm simulation can better predict the projectile penetration depth and the crater morphology on the target surface

providing a new technical means for studying the structural response of projectile during the process of penetrating into the rock-like targets.

关键词

Keywords

references

高飞 , 邓树新 , 张国凯 , 等 . 缩比模型弹侵彻岩石靶尺寸效应试验研究与理论分析 [J ] . 兵工学报 , 2023 , 44 ( 12 ): 3601 - 3612 .

GAO F , DENG S X , ZHANG G K , et al. Experimental study and theoretical analysis of the size effect for scale model projectile penetrating into rock target [J ] . Acta Armamentarii , 2023 , 44 ( 12 ): 3601 - 3612 . (in Chinese)

程月华 , 姜鹏飞 , 吴昊 , 等 . 考虑尺寸效应的典型钻地弹侵彻混凝土深度分析 [J ] . 爆炸与冲击 , 2022 , 42 ( 6 ): 063302 .

CHENG Y H , JIANG P F , WU H , et al. On penetration depth of typical earth-penetrating projectiles into concrete targets considering the scaling effect [J ] . Explosion and Shock Waves , 2022 , 42 ( 6 ): 063302 . (in Chinese)

何勇 , 徐天涵 , 张效晗 , 等 . 钻地弹侵彻深度尺寸效应分析与实用计算公式 [J ] . 爆炸与冲击 , 2025 , 45 ( 4 ): 93 - 110 .

HE Y , XU T H , ZHANG X H , et al. Analysis of the size effect on the penetration depth of earth-penetrating projectiles and practical calculating formula [J ] . Explosion and Shock Waves , 2025 , 45 ( 4 ): 93 - 110 . (in Chinese)

杨泽寰 , 张先锋 , 刘闯 , 等 . 动能导弹弹体的冲击载荷理论模型 [J ] . 兵工学报 , 2024 , 45 ( 增刊1 ): 20 - 32 .

YANG Z H , ZHANG X F , LIU C , et al. Theoretical model for impact load of kinetic energy missile [J ] . Acta Armamentarii , 2024 , 45 ( S1 ): 20 - 32 . (in Chinese)

吕映庆 , 陈南勋 , 武海军 , 等 . 弹体高速侵彻超高性能混凝土靶机理 [J ] . 兵工学报 , 2022 , 43 ( 1 ): 37 - 47 .

LÜ Y Q , CHEN N X , WU H J , et al. Mechanism of high-velocity projectile penetrating into ultra-high performance concrete target [J ] . Acta Armamentarii , 2022 , 43 ( 1 ): 37 - 47 . (in Chinese)

邓佳杰 , 张先锋 , 陈东东 , 等 . 串联随进弹侵彻预开孔靶弹道轨迹的数值模拟 [J ] . 兵工学报 , 2016 , 37 ( 5 ): 808 - 816 .

DENG J J , ZHANG X F , CHENG D D , et al. Numerical simulation of the trajectory of travelling projectile penetrating into pre-drilled target [J ] . Acta Armamentarii , 2016 , 37 ( 5 ): 808 - 816 . (in Chinese)

戴湘晖 , 王可慧 , 周刚 , 等 . 刚性椭圆截面弹体侵彻性能理论研究 [J ] . 现代应用物理 , 2024 , 15 ( 6 ): 132 - 141 .

DAI X H , WANG K H , ZHOU G , et al. Theoretical study on penetration performance of rigid elliptical cross-section projectile [J ] . Modern Applied Physics , 2024 , 15 ( 6 ): 132 - 141 . (in Chinese)

杨慧 , 柯明 , 李明 , 等 . 正侵彻半无限靶的刚性弹体头部形状优化分析 [J ] . 现代应用物理 , 2022 , 13 ( 3 ): 190 - 197 .

YANG H , KE M , LI M , et al. Optimization analysis of rigid projectile nose shape for normal penetrating into semi-infinite targets [J ] . Modern Applied Physics , 2022 , 13 ( 3 ): 190 - 197 . (in Chinese)

吴海军 , 王可慧 , 柯明 , 等 . 影响环形聚能装药侵彻能力的单因素分析及正交优化设计 [J ] . 现代应用物理 , 2023 , 14 ( 3 ): 234 - 243 .

WU H J , WANG K H , KE M , et al. Single factor analysis and orthogonal optimization design for penetration capability of annular shaped charge [J ] . Modern Applied Physics , 2023 , 14 ( 3 ): 234 - 243 . (in Chinese)

陈柏翰 , 赵生伟 , 邹慧辉 , 等 . 侵彻弹体过载信号特性与处理技术研究进展 [J ] . 兵工学报 , 2024 , 45 ( 9 ): 2906 - 2928 .

CHEN B H , ZHAO S W , ZOU H H , et al. Research progress of overload signal characteristics and processing technologies of penetrating projectile [J ] . Acta Armamentarii , 2024 , 45 ( 9 ): 2906 - 2928 . (in Chinese)

刘泓甫 , 黄风雷 , 白志玲 , 等 . 刚性弹体带攻角斜侵彻贯穿混凝土靶板的理论模型 [J ] . 兵工学报 , 2023 , 44 ( 8 ): 2381 - 2390 .

LIU H F , HUANG F L , BAI Z L , et al. Theoretical model of oblique penetration of rigid projectiles into concrete targets at attack angles [J ] . Acta Armamentarii , 2023 , 44 ( 8 ): 2381 - 2390 . (in Chinese)

李鹏程 , 张先锋 , 刘闯 , 等 . 攻角和入射角对弹体侵彻混凝土薄靶弹道特性影响规律研究 [J ] . 爆炸与冲击 , 2022 , 42 ( 11 ): 92 - 104 .

LI P C , ZHANG X F , LIU C , et al. Study on the influence of pitch and trajectory angle on penetration of projectiles into thin concrete targets [J ] . Explosion and Shock Waves , 2022 , 42 ( 11 ): 92 - 104 . (in Chinese)

姚志彦 , 李金柱 , 齐凯丽 , 等 . 长杆弹超高速侵彻砂浆靶临界速度的实验和计算 [J ] . 兵工学报 , 2022 , 43 ( 7 ): 1578 - 1588 .

YAO Z Y , LI J Z , QI K L , et al. Experiment and calculation of critical velocity of long-rod projectile penetrating mortar target at hypervelocity [J ] . Acta Armamentarii , 2022 , 43 ( 7 ): 1578 - 1588 . (in Chinese)

魏欣 , 陈博 , 张德志 , 等 . 刚性动能弹侵彻混凝土过载特性的数值模拟 [J ] . 现代应用物理 , 2021 , 12 ( 4 ): 137 - 143 .

WEI X , CHEN B , ZHANG D Z , et al. Numerical simulation of overload characteristics of rigid kinetic energy projectile penetrating concret [J ] . Modern Applied Physics , 2021 , 12 ( 4 ): 137 - 143 . (in Chinese)

盛强 , 孟繁霖 , 张先锋 , 等 . 战斗部高速侵彻混凝土靶动态响应数值模拟研究 [J ] . 弹道学报 , 2024 , 36 ( 3 ): 91 - 100 ,110.

SHENG Q , MENG F L , ZHANG X F , et al. Numerical simulation of dynamic response of warhead penetrating concrete target with high velocity [J ] . Journal of Ballistics , 2024 , 36 ( 3 ): 91 - 100 ,110. (in Chinese)

李鹏程 , 张先锋 , 王桂吉 , 等 . 弹体正侵彻混凝土靶动态开坑作用过程 [J ] . 爆炸与冲击 , 2023 , 43 ( 9 ): 43 - 59 .

LI P C , ZHANG X F , WANG G J , et al. Dynamic cratering process during penetration of rigid projectile into concrete target [J ] . Explosion and Shock Waves , 2023 , 43 ( 9 ): 43 - 59 . (in Chinese)

陈柏翰 , 邹慧辉 , 沈子楷 , 等 . 侵彻弹体冲击响应模型研究进展 [J ] . 现代应用物理 , 2024 , 15 ( 6 ): 3 - 28 ,36.

CHEN B H , ZOU H H , SHEN Z K , et al. Research progress of impact response models for penetrating projectile [J ] . Modern Applied Physics , 2024 , 15 ( 6 ): 3 - 28 ,36. (in Chinese)

王克 , 侯海量 , 李永清 , 等 . 攻角对杆状弹体入水侵彻特性影响数值分析 [J ] . 舰船科学技术 , 2023 , 45 ( 13 ): 6 - 13 .

WANG K , HOU H L , LI Y Q , et al. Numerical analysis of influence of angle of attack on penetration characteristics of long-rod projectile entering water [J ] . Ship Science and Technology , 2023 , 45 ( 13 ): 6 - 13 . (in Chinese)

TAY S K , POON J K , CHAN R . Modeling rebar in reinforced concrete for ALE simulations [C ] // Proceedings of the 14th International LS-DYNA Users Conference.Michigan,US : 2016 : 1 - 14 .

TAN S H , CHAN R , POON J K , et al. Verification of concrete material models for MM-ALE simulations [C ] // Proceedings of the 13th International LS-DYNA Users Conference.Detroit,MI,US : 2014 : 6 - 8 .

浦锡锋 , 王仲琦 , 白春华 , 等 . 流固耦合方法在侵彻弹体磨蚀研究中的应用 [J ] . 爆炸与冲击 , 2013 , 33 ( 增刊1 ): 16 - 22 .

PU X F , WANG Z Q , BAI C H , et al. Euler-Lagrange coupling technique for mass loss of kinetic-energy penetrator [J ] . Explosion and Shock Waves , 2013 , 33 ( S1 ): 16 - 22 . (in Chinese)

高飞 , 张国凯 , 纪玉国 , 等 . 卵形弹体超高速侵彻砂浆靶的响应特性 [J ] . 兵工学报 , 2020 , 41 ( 10 ): 1979 - 1987 .

GAO F , ZHANG G K , JI Y G , et al. Response characteristics of hypervelocity ogive-nose projectile penetrating into mortar target [J ] . Acta Armamentarii , 2020 , 41 ( 10 ): 1979 - 1987 . (in Chinese)

MALVAR L J , CRAWFORD J E , WESOVICH J W , et al. A plasticity concrete material model for DYNA3D [J ] . International Journal of Impact Engineering , 1997 , 19 (9, 10 ): 847 - 873

周清 , 齐麟 . LS-DYNA软件中5种常用抗爆混凝土材料模型的分析与比较 [J ] . 混凝土 , 2019 ( 11 ): 43 - 49 .

ZHOU Q , QI L . Analysis and comparison of 5 different common anti-explosion concrete material models of LS-DYNA software [J ] . Concrete , 2019 ( 11 ): 43 - 49 . (in Chinese)

FORRESTAL M J , FREW D J , HANCHAK S J , et al. Penetration of grout and concrete targets with ogive-nose steel projectiles [J ] . International Journal of Impact Engineering , 1996 , 18 ( 5 ): 465 - 476 .

Views

下载量

CNKI被引量

Alert me when the article has been cited

提交

Tools

Publicity Resources

Analysis of Damage Characteristicsof Missile Rudder Fins Subjected to Projectile Penetration

Ballistic Characteristics of Projectile Penetrating into Multi-layered Concrete Target

Research on Behavior of Lightweight High-entropy Alloy Jet Penetrating Concrete Targets

Numerical Simulation of Temperature Rise of 4340 Steel Projectile Penetrating into 45# Steel Target

Numerical Simulation of Bullets Penetrating into Gelatin Target with Hard/Soft Composite Armor

Related Author

Yong HE

Zengyou LIANG

Chenyang LIANG

Xiaojian WANG

Huihui ZOU

Kehui WANG

Weiguang WANG

Baihan CHEN

Related Institution

School of Mechatronics Engineering,North University of China

Department of Engineering Physics, Tsinghua University

State Key Laboratory of Explosion Science and Safety Protection, Beijing Institute of Technology

College of Science, National University of Defense Technology

School of Mechanical Engineering，Nanjing University of Science and Technology

Postal code：100089
Tel：010-68963060/68962718 Fax：010-68963025 Email：bgxb@cos.org.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备05059581号-4 京公网安备11010802024360号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.
Total Visits：49245 Visits Today：42

⁰